3rd grade front end estimation
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In the United States, third grade (called grade 3 in some regions) is a year of primary education. It is the third school year after kindergarten. Students are usually 8 - 9 years old, depending on when their birthday occurs.
- In mathematics, students are usually introduced to multiplication and division facts, place value to thousands or ten thousands, and estimation. Depending on the school, students may even begin to work on long division. Decimals (to tenths only) are sometimes introduced. Students begin to work on problem-solving skills working to explain their thinking in mathematical terms.
In science, third graders are taught basic physical sciences and chemistry. Weather is also taught as well. The concept of atoms and molecules are common, the states of matter, and energy, along with basic elements such as oxygen, hydrogen, gold, zinc, and iron. Nutrition is also taught in third grade along with chemistry.
Social studies begin a study of the culture of the United States and basic idea of the early part of the United States from the time of Native Americans to the Civil War. Outward expansion and the gold rush is covered.
- In reading, third grade students begin working more on text comprehension than decoding strategies. Students also begin reading harder chapter books. They read and distinguish between a variety of genres: realisticfiction, non-fiction, poetry, fantasy, historical fiction, science fiction and folktales.
- Grade 3 students learn how to work on projects on their own and with others. This may start as early as second and first grade as well. Social skills, empathy and leadership are considered by some educators to be as important to develop as the hard skills of reading, writing and arithmetic.
In Ireland, the equivalent is Third Class (for 8-9 year olds) which is the fifth of Primary School.
In England, the year of school that is the same age as 3rd Grade is Year 4, which is the fifth year of school..
New Zealand equivalent
In New Zealand, this level of class is called Standard 2 or Year 4. Children generally start this level between the ages of seven and eight.
In Brazil, elementary school age was recently raised from 8 to 9 years, and the minimum age required for third grade was changed from 7 to 8 years old.
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Answers:I would loosely say 550 - 250 = 300; .... or 540 - 240 = 300 whereas actual answer = 312 ... so semi-close and in the ballpark. if you could get closer, you would probably be able to do the actual problem in your head.
Answers:I have no idea. One of the teachers I worked with even admitted that some of the things that they teach won't be used that much if at all in the real world, and that only certain occupations will use certain things. Call her up and ask her.
Answers:Well a only shows up once...so let a=1. Or in this case, 1000. Also, d shows in every term, so 4*d has the last digit = 6. Out of 1-10, only 4 and 9 have the last number equal to 6 when multiplied by 4, being 16 and 46 respectively. First scenario: d=9---Second: d=4 1bcd + bcd +cd +9=1986---bcd+bcd+cd+4=1986 I remove 1000 from the first term and subtract the remainder on the end bcd+bcd+cd=977---bcd+bcd+cd=982 2*(bcd)+cd=977---2*(bcd)+cd=982 2*(bc9)+c9=977---2*(bc4)+c4=982 3*9=27. 977-27=950---3*4=12 982-12=970 2*(bc0)+c0=950---2*(bc0)+c0=970 Divide both sides by 10 to cancel the 0 2*(bc)+c=95---2*(bc)+c=97 2*b0+3*c=95---2*b0+3*c=97 2*10*b+3c=95---2*10*b+3c=97 20*b+3c=95---20*b+3c=97 Again, 3*c must have the last number = to 5, or 7 It now branches again. Numbers 1:10 that have a remainder of 5 or a 7 are: 5 for the first, and 9 for the second, so it turns out there's no need to keep branching First scenario again---Second scenario Let c=5---c=9 20*b+3*5=95---20*b+3*9=97 20*b=80---20*b=70 b=4---b=70/20. Since b can't equal a number with a decimal place, The first solution must be the correct choice. To be honest, I'm a third year Chemical Engineering student staying up late studying for his transient chemical/thermodynamic process final in 5 hours, and it took me 20+ minutes to think this through, which seems a little ridiculous. I don't think your son's teacher was thinking this particular assignment through too carefully when he/she assigned it. Thanks for the brain exercise! :)
Answers:Front end estimation mostly produces a closer estimate of sums or differences than the answer produced by adding or subtracting rounded numbers. How to estimate a sum by front end estimation: Add the digits of the two highest place values Insert zeros for the other place values Example 1: 4496 + 3745 is estimated to be 8100 by front end estimation (i.e. 4400 + 3700). Example 2: 4496 + 745 is estimated to be 5100 by front end estimation (i.e. 4400 + 700). ------------------------------- Using the leading, or left-most, digits to make an estimate quickly and easily. Example:Using front-end estimation to estimate the sum of 594, 32, and 221, an initial estimate would be 5 + 0 + 2 hundreds or 700.